Question

1. You want to go to your boss and ask for additional staff in your emergency room. You have noticed an increase in patients in the ER since the previous year. You collect data by month for the two years to compare. Assume that the number of patients are normally distributed.

d. You set your level of significance at alpha = 0.05 and determine your t-critical value of 2.074 since you are decided to conduct a independent samples t-test. What is your decision rule (state when would you reject the null hypothesis and when you would fail to reject the null hypothesis)?

e. Using Data Analysis in Excel, you obtain the following table. Make a conclusion. Your conclusion should have two parts. Do you reject or fail to reject the null hypothesis based on your decision rule?

	# of Patients
	t-Test: Two-Sample Assuming Unequal Variances
		2018	2019
	Mean	5157.4167	5696.333333
	Variance	63566.629	60730.06061
	Observations	12	12
	Hypothesized Mean Difference	0
	df	22
	t Stat	-5.2952011
p-value-->	P(T<=t) two-tail	2.585E-05
tcv -->	t Critical two-tail	2.0738731
	Year
Month	2018	2019
1	4825	5262
2	4752	5435
3	5041	5481
4	5312	6081
5	5300	5936
6	5232	5627
7	5151	5856
8	5585	5763
9	5520	5955
10	5136	5787
11	5077	5474
12	4958	5699

Answer 1